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Proof step 24 from proof rightshift-8-01-01 (previous step)

0 ≤ i, # int2bytes(i) ≤ i→n(j), 2 ^ (8 * abs(j)) ≤ i ⊦ j = 0, i / 2 ^ (8 * abs(j)) = 0, int2bytes(i).first = i2b(0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ 0 ≤ i ∧ int2bytes(i).first ≠ i2b(0) → (# int2bytes(i) ≤ n ↔ i < 2 ^ (n→i(n) * 8))

Rule argument

name: int2bytes-len-ls-upper rotate: F subst: [n, i] → [i→n(j), i]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ n→i(i→n(i)) = abs(i);% ⊦ i * j = j * i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: i→n(j), i